Partial regularity of optimal transport maps
Guido De Philippis (Hausdorff Research Institute for Mathematics, University of Bonn)

Location

MSRI: Simons Auditorium

Video

Abstract

We prove that for general smooth cost functions on the Euclidean space, or for the cost given by the squared distance on a Riemannian manifold, optimal transport maps between smooth densities are smooth outside a closed set of measure zero.(joint work with Alessio Figalli)